The best way to put spin on a chip is a steep angle of approach and FIRM left wrist, no flippy stuff here. Too steepen the angle lean towards the hole with most of your weight and keep it there.

However having said that, you really only need bite when there is no other way, has said it is a bit unpreditable, for chipping I always try to get the ball rolling as fast as possible, betweeen one or two yards on the green then run out to the hole.

Here is how you do that, looks at your clubs this way:
PW - is 1 to 1, will roll as far as it flies
9i - 2 to 1, rolls twice as far as it flys
8i - 3 to 1
7i - 4 to 1
etc... on through to 3i if you have to, usually these 4 will cover most shots. Looks at the shot figure out how far your ball is to the one yard point on the green, then figure the pin from that point will tell you which club to use. Once this is done, I could care less about the pin, I just work at landing my ball to the spot and trust the roll out. This is pretty bullet proof.

Look at the spot on the green to the pin like it was a putt, of course adjust for uphill and downhill, downhill a PW might be 2 to 1, uphill a 9i might be 1 to 1, but idea renains the same get the ball on the ground fast, and turn the roll out into a putt.

I have even gone so far as to stand on my spot and pretend I was putting, just to check the angle. I don't try to get close, I try to make them all. Give it try I think you might be pleasantly surprised. Good luck, good chipping.